Book/Dissertation / PhD Thesis

FZJ-2021-04912

http://join2-wiki.gsi.de/foswiki/pub/Main/Artwork/join2_logo100x88.png A Unified Framework for Functional Renormalisation Group Calculations and its Application to Three Dimensional Hubbard Models

Ehrlich, J. (Corresponding author)FZJ*

2021
Forschungszentrum Jülich GmbH Zentralbibliothek, Verlag Jülich
ISBN: 978-3-95806-582-6

Please use a persistent id in citations: http://hdl.handle.net/2128/29371

Abstract: This thesis would not have been possible without the support of many people throughout the years of my doctoral studies. First of all I thank Carsten Honerkamp and Stefan Blügel for giving me the opportunity to work on this interesting project, being part of both of their groups, enabling my participation at national and international workshops and conferences and refereeing this thesis. I am especially grateful to Carsten Honerkamp for his supervision, fruitful scientic discussions and his patience with this thesis. I sincerely appreciated the collaboration with Jacob Beyer, Lennart Klebl and Jonas Hauck with whom I had plenty productive discussions and who helped in improving the quality and generality of the resulting code. I want to gratefully acknowledge the support by Daniel Rohe, who analysed the parallelisation of my code not only once and provided very helpful advice for a signicant improvement, so that chapter 4.5 is devoted to him. I am further thankful for the scientic exchange and collaboration on the functional renormalisation group with Cornelia Hille, Agnese Tagliavini, and my former colleagues Julian Lichtenstein, David Sanchez de la Pe$\tilde{n}$a, and especially Giulio Schober and Timo Reckling. I further want to thank Mathias Müller and Christoph Friedrich for their support inquestions concerning perturbation theory and their numerical implementation. For the creation of such a pleasant, inspiring atmosphere I am thankful to all the present and former colleagues at the RWTH Aachen, among them Sebastian Larisch, Lukas Weber, Feng Xiong, Mathias Schumacher, Jonas Becker, Patrick Emonts, Christian Eckhardt and Lisa Markhof, and at the Peter Grünberg Institut at the Forschungszentrum Jülich, among them Fabian Lux, Gregor Michalicek, Christian Gerhorst, Stefan Rost, Philipp Rümann, Jens Bröder and Rico Friedrich. Great thanks for proofreading (parts) of the manuscript of this thesis go to Christoph Friedrich, Lennart Klebl, Jonas Hauck and, especially, to Gisela Deitert. I further gratefully acknowledge the computing time granted by the JARA-HPC Vergabegremium on the supercomputer JURECA [1] at Froschungszentrum Jülich, as well as nancial support through the Deutsche Forschungsgesellschaft through the research training group RTG1995. Finally, but most importantly, I thank my parents for their help and advice through all the years and I thank Anna for her love and being a strong support even when everything seems to cause trouble.

Note: Dissertation, RWTH Aachen, 2021

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Contributing Institute(s):

1. Quanten-Theorie der Materialien (PGI-1)
2. Quanten-Theorie der Materialien (IAS-1)
3. JARA-FIT (JARA-FIT)
4. JARA - HPC (JARA-HPC)

Research Program(s):

1. 5211 - Topological Matter (POF4-521) (POF4-521)

Appears in the scientific report 2021

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Database coverage:
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